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A ball of radius R carries a positive ch...

A ball of radius R carries a positive charge whose volume charge depends only on the distance r from the ball's centre as: `rho=rho_(0)(1-(r)/(R))`
Where `r_(0)` is a constant. Take `epsilon` to be permittivit of the ball. Calculate the maximum electric field intensity at a point (inside or outside the ball) due to such a charge distribution.

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The correct Answer is:
`E_(max)=(rho_(0)E)/(9epsilon)`
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